ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Looking at the total return, or increase in value of 113.7% in the last 5 years of ProShares Ultra Dow30, we see it is relatively greater, thus better in comparison to the benchmark SPY (90.1%)
• Compared with SPY (76.5%) in the period of the last 3 years, the total return, or increase in value of 90.2% is larger, thus better.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Compared with the benchmark SPY (13.8%) in the period of the last 5 years, the annual return (CAGR) of 16.5% of ProShares Ultra Dow30 is larger, thus better.
• Looking at annual performance (CAGR) in of 24.1% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (21%).

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the historical 30 days volatility of 29.3% of ProShares Ultra Dow30 is greater, thus worse.
• Compared with SPY (15.2%) in the period of the last 3 years, the volatility of 26.7% is greater, thus worse.

DownVol:

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• The downside risk over 5 years of ProShares Ultra Dow30 is 20.3%, which is higher, thus worse compared to the benchmark SPY (11.7%) in the same period.
• Looking at downside risk in of 18% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.2%).

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• The risk / return profile (Sharpe) over 5 years of ProShares Ultra Dow30 is 0.48, which is smaller, thus worse compared to the benchmark SPY (0.66) in the same period.
• Compared with SPY (1.22) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.81 is smaller, thus worse.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (0.96) in the period of the last 5 years, the excess return divided by the downside deviation of 0.69 of ProShares Ultra Dow30 is lower, thus worse.
• Compared with SPY (1.82) in the period of the last 3 years, the downside risk / excess return profile of 1.2 is lower, thus worse.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Ulcer Ratio of 14 of ProShares Ultra Dow30 is larger, thus worse.
• Compared with SPY (3.48 ) in the period of the last 3 years, the Downside risk index of 7.88 is higher, thus worse.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Looking at the maximum DrawDown of -40.2 days in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Looking at maximum drop from peak to valley in of -31.6 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 517 days of ProShares Ultra Dow30 is greater, thus worse.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 195 days is greater, thus worse.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• The average days under water over 5 years of ProShares Ultra Dow30 is 137 days, which is greater, thus worse compared to the benchmark SPY (119 days) in the same period.
• Looking at average time in days below previous high water mark in of 44 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (19 days).